On the Theory of the Nonstationary Spherical Crystal Growth in Supercooled Melts and Supersaturated Solutions

Abstract

A theory is developed to describe the nonstationarity growth of spherical crystals in supercooled melts and supersaturated solutions. The first two corrections to the fundamental contribution to the law of crystal growth rate are determined using differential series, the expansion of unknown functions in a small parameter, and the integral Laplace–Carson transform. These corrections are shown to substantially change the growth rate of spherical crystals in metastable liquids.